Zhou J.G. Lattice Boltzmann methods for shallow water flows (Berlin; Heidelberg, 2004). - ОГЛАВЛЕНИЕ / CONTENTS
Навигация

Архив выставки новых поступлений | Отечественные поступления | Иностранные поступления | Сиглы
ОбложкаZhou J.G. Lattice Boltzmann methods for shallow water flows. - Berlin; Heidelberg: Springer, 2004. - xi, 112 p.: ill. - Ref.: p.105-108. - Ind.: p.109-112. - ISBN 3-540-40746-4
 

Место хранения: 015 | Библиотека Института гидродинамики CO РАН | Новосибирск

Оглавление / Contents
 
1  Introduction ................................................. 1
   1.1  Outline of the Book ..................................... 1
   1.2  History ................................................. 1
        1.2.1  Cellular Automata ................................ 2
        1.2.2  Lattice Gas Automata ............................. 2
        1.2.3  Lattice Boltzmann Method ......................... 3
   1.3  Advantages .............................................. 4
   1.4  Objectives .............................................. 4
2  Shallow Water Flows .......................................... 7
   2.1  Introduction ............................................ 7
   2.2  General Flow Equations .................................. 7
   2.3  Subgrid-Scale Stress Model .............................. 9
   2.4  Shallow Water Equations ................................ 10
   2.5  Various Numerical Methods .............................. 18
   2.6  Closure ................................................ 18
3  Lattice Boltzmann Method .................................... 19
   3.1  Introduction ........................................... 19
   3.2  Lattice Boltzmann Equation ............................. 19
   3.3  Lattice Pattern ........................................ 21
   3.4  Local Equilibrium Distribution Function ................ 23
   3.5  Macroscopic Properties ................................. 26
   3.6  Recovery of the Shallow Water Equations ................ 27
   3.7  Stability Conditions ................................... 29
   3.8  Relation to Continuum Boltzmann Equation ............... 30
   3.9  Discussions ............................................ 32
        3.9.1  Two Variants of the LBE ......................... 32
        3.9.2  Solution Strategies ............................. 32
        3.9.3  Choice of the LBE ............................... 33
   3.10 Closure ................................................ 33
4  Force Terms ................................................. 35
   4.1  Introduction ........................................... 35
   4.2  Motivation ............................................. 35
   4.3  Centred Scheme ......................................... 36
   4.4  Feature of the Centred Scheme .......................... 39
   4.5  Discussions ............................................ 42
        4.5.1  Properties of Force Term ........................ 42
        4.5.2  Recommendation .................................. 43
        4.5.3  Discretization Errors ........................... 43
   4.6  Closure ................................................ 45
5  Turbulence Modelling ........................................ 47
   5.1  Introduction ........................................... 47
   5.2  SGS for Shallow Water Equations ........................ 47
   5.3  LABSWETM ............................................... 48
   5.4  Recovery of Turbulent SWE .............................. 50
   5.5  Closure ................................................ 52
6  Boundary and Initial Conditions ............................. 53
   6.1  Introduction ........................................... 53
   6.2  Bounce-Back Scheme ..................................... 53
   6.3  Elastic-Collision Scheme ............................... 54
        6.3.1  Representation of Boundary ...................... 55
        6.3.2  Slip Boundary Condition ......................... 55
        6.3.3  Semi-Slip Boundary Condition .................... 57
   6.4  Inflow and Outflow ..................................... 58
   6.5  Periodic Boundary Condition ............................ 60
   6.6  Initial Condition ...................................... 60
   6.7  Solution Procedure ..................................... 60
   6.8  Discussions ............................................ 61
   6.9  Closure ................................................ 61
7  Applications ................................................ 63
   7.1  Introduction ........................................... 63
   7.2  Basic Tests ............................................ 63
        7.2.1  Steady Flow over a Bump ......................... 63
        7.2.2  Tidal Flow over a Regular Bed ................... 64
        7.2.3  Flow around a Cylinder .......................... 67
   7.3  Flows with Force Term .................................. 68
        7.3.1  Stationary Case ................................. 69
        7.3.2  Steady Flow over an Irregular Bed ............... 72
        7.3.3  Tidal Flow over an Irregular Bed ................ 73
        7.3.4  2D Steady Flow over a Bump ...................... 76
   7.4  Turbulence Modelling ................................... 78
        7.4.1  Flow in a Straight Channel ...................... 78
        7.4.2  Flow over a Submerged Island .................... 81
   7.5  More Examples .......................................... 82
        7.5.1  Wind-Driven Circulation in a Dish-Shaped
               Basin ........................................... 83
        7.5.2  Flow in a Strongly Curved Channel ............... 88
        7.5.3  Flow around Multiple Bodies ..................... 90
   7.6  Closure ................................................ 9l
A  LABSWE on Hexagonal Lattice ................................. 95
В  LABSWE Code ................................................. 97
   B.l  LABSWE Module .......................................... 97
   B.2  An Example ............................................ 102
References .................................................... 105
Index ......................................................... 109


Архив выставки новых поступлений | Отечественные поступления | Иностранные поступления | Сиглы
 

[О библиотеке | Академгородок | Новости | Выставки | Ресурсы | Библиография | Партнеры | ИнфоЛоция | Поиск | English]
  Пожелания и письма: branch@gpntbsib.ru
© 1997-2020 Отделение ГПНТБ СО РАН (Новосибирск)
Статистика доступов: архив | текущая статистика
 

Документ изменен: Wed Feb 27 14:24:24 2019. Размер: 9,404 bytes.
Посещение N 783 c 04.12.2012